https://github.com/programerr01/pi

calculating the value of pi
https://github.com/programerr01/pi

Last synced: 9 months ago
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calculating the value of pi

• Host: GitHub
• URL: https://github.com/programerr01/pi
• Owner: programerr01
• Created: 2020-03-23T14:10:34.000Z (about 6 years ago)
• Default Branch: master
• Last Pushed: 2020-03-23T15:03:53.000Z (about 6 years ago)
• Last Synced: 2025-04-05T15:11:28.521Z (about 1 year ago)
• Language: Python
• Size: 1.95 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# PI

calculating the value of pi

# Background 

pi is the ratio of perimeter of the circle to the diameter

# Basic technique used

let a square whose side is 2r where r is 1

let a circle inside the square whose radius is r

the area of square is a^2 so a =2r

the area of circle is pi*r^2

so the ratio of area of circle divided by the area of square

                = pi*r^2 / 4r^2

               so the ratio is pi/4

               

similarly if we take the random point in the whole plane the 

probability that the point will land inside the circle is 

                    = points land in circle / total number of points thrown

     

this ratio should also equal to the ratio of area

               pi/4 = total number in circle / total number of points

               pi = 4 * total number in circle / total number of points